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Finding the Fourth Proportional to 3,003, 4,142.98 and 1,883.48

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Solution

The fourth proportional to 3,003, 4,142.98 and 1,883.48 is: 2,598.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,003 : 4,142.98 = 1,883.48 : x
  2. Step 2: Convert to fraction form
    3,003/4,142.98 = 1,883.48/x
  3. Step 3: Cross multiply
    3,003x = 4,142.98 × 1,883.48
  4. Step 4: Simplify right side
    3,003x = 7,803,219.97
  5. Step 5: Solve for x
    x = 7,803,219.97/3,003
  6. Step 6: Final answer
    x = 2,598.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.